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Finding the Fourth Proportional to 286.56, 430.32 and 263.16

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Solution

The fourth proportional to 286.56, 430.32 and 263.16 is: 395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 430.32 = 263.16 : x
  2. Step 2: Convert to fraction form
    286.56/430.32 = 263.16/x
  3. Step 3: Cross multiply
    286.56x = 430.32 × 263.16
  4. Step 4: Simplify right side
    286.56x = 113,243.01
  5. Step 5: Solve for x
    x = 113,243.01/286.56
  6. Step 6: Final answer
    x = 395.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.